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80867293272 = 23331074218311
BaseRepresentation
bin100101101010000010…
…0001111100001011000
321201201210002010201000
41023110010033201120
52311104011341042
6101052214425000
75561652436263
oct1132404174130
9251653063630
1080867293272
113132852a387
121380a362160
137819a194bc
143cb201dcda
1521846d974c
hex12d410f858

80867293272 has 128 divisors (see below), whose sum is σ = 227296627200. Its totient is φ = 26637206400.

The previous prime is 80867293271. The next prime is 80867293291. The reversal of 80867293272 is 27239276808.

80867293272 is a `hidden beast` number, since 8 + 0 + 86 + 7 + 293 + 272 = 666.

It is a super-2 number, since 2×808672932722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80867293271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9725997 + ... + 9734307.

It is an arithmetic number, because the mean of its divisors is an integer number (1775754900).

Almost surely, 280867293272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80867293272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113648313600).

80867293272 is an abundant number, since it is smaller than the sum of its proper divisors (146429333928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80867293272 is a wasteful number, since it uses less digits than its factorization.

80867293272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8854 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 80867293272 in words is "eighty billion, eight hundred sixty-seven million, two hundred ninety-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 421 428 642 842 856 963 1263 1284 1684 1926 2526 2568 2889 3368 3789 3852 5052 5778 7578 7704 8311 10104 11367 11556 15156 16622 22734 23112 24933 30312 33244 45047 45468 49866 66488 74799 90094 90936 99732 135141 149598 180188 199464 224397 270282 299196 360376 405423 448794 540564 598392 810846 889277 897588 1081128 1216269 1621692 1778554 1795176 2432538 2667831 3243384 3498931 3557108 4865076 5335662 6997862 7114216 8003493 9730152 10496793 10671324 13995724 16006986 20993586 21342648 24010479 27991448 31490379 32013972 41987172 48020958 62980758 64027944 83974344 94471137 96041916 125961516 188942274 192083832 251923032 374385617 377884548 748771234 755769096 1123156851 1497542468 2246313702 2995084936 3369470553 4492627404 6738941106 8985254808 10108411659 13477882212 20216823318 26955764424 40433646636 80867293272